Minutes Of Arc to Circles Conversion

Enter the angle in minutes of arc below to get the value converted to circles.

Results in Circles:
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1 arcmin = 4.6296E-5 cir
Hint: use a scientific notation calculator to convert E notation to decimal

How to Convert Minutes Of Arc to Circles

Protractors are often used to measure angle

To convert a minute of arc measurement to a circle measurement, divide the angle by the conversion ratio.

Since one circle is equal to 21,600 minutes of arc, you can use this simple formula to convert:

circles = minutes of arc ÷ 21,600

The angle in circles is equal to the minutes of arc divided by 21,600.

For example, here's how to convert 50,000 minutes of arc to circles using the formula above.
50,000' = (50,000 ÷ 21,600) = 2.314815 cir

Minutes of arc and circles are both units used to measure angle. Keep reading to learn more about each unit of measure.

Minutes Of Arc

The minute of arc is a unit of angle equal to 1/60th of one degree, or 1/21,600 of a circle. The minute of arc is also equal to π/10,800 radians.

A minute of arc is sometimes also referred to as an arc minute, arcminute, or minute arc. Minutes of arc can be abbreviated as arcmin, and are also sometimes abbreviated as MOA or amin. For example, 1 minute of arc can be written as 1 arcmin, 1 MOA, or 1 amin.

The minute of arc is most commonly represented using the prime (′), although the single-quote is commonly used. For instance, 1 minute of is most commonly expressed as 1′.


A circle is the equivalent of 1 revolution around a circle, or 360°.

A circle is sometimes also referred to as a revolution. Circles can be abbreviated as cir; for example, 1 circle can be written as 1 cir.

Minute Of Arc to Circle Conversion Table

Minute of arc measurements converted to circles
Minutes Of Arc Circles
1' 0.000046296 cir
2' 0.000092593 cir
3' 0.000139 cir
4' 0.000185 cir
5' 0.000231 cir
6' 0.000278 cir
7' 0.000324 cir
8' 0.00037 cir
9' 0.000417 cir
10' 0.000463 cir
100' 0.00463 cir
1,000' 0.046296 cir
10,000' 0.462963 cir
100,000' 4.6296 cir